What is the Greatest Common Factor of 67446 and 67452?

Greatest common factor (GCF) of 67446 and 67452 is 6.

GCF(67446,67452) = 6

We will now calculate the prime factors of 67446 and 67452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67446 and 67452.

How to find the GCF of 67446 and 67452?

We will first find the prime factorization of 67446 and 67452. After we will calculate the factors of 67446 and 67452 and find the biggest common factor number .

Step-1: Prime Factorization of 67446

Prime factors of 67446 are 2, 3, 1249. Prime factorization of 67446 in exponential form is:

67446 = 2¹ × 3³ × 1249¹

Step-2: Prime Factorization of 67452

Prime factors of 67452 are 2, 3, 7, 11, 73. Prime factorization of 67452 in exponential form is:

67452 = 2² × 3¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 67446

List of positive integer factors of 67446 that divides 67446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1249, 2498, 3747, 7494, 11241, 22482, 33723

Step-4: Factors of 67452

List of positive integer factors of 67452 that divides 67446 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 73, 77, 84, 132, 146, 154, 219, 231, 292, 308, 438, 462, 511, 803, 876, 924, 1022, 1533, 1606, 2044, 2409, 3066, 3212, 4818, 5621, 6132, 9636, 11242, 16863, 22484, 33726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67446 and 67452. The biggest common factor number is the GCF number.
So the greatest common factor 67446 and 67452 is 6.

Also check out the Least Common Multiple of 67446 and 67452